Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited

DOI10.1063/1.4761821zbMath1297.37033arXiv1108.0878OpenAlexW3101164561MaRDI QIDQ2872339

Maxim P. Pavlov, Orest D. Artemovych, Yarema A. Prykarpatsky, Anatoliy K. Prykarpatsky

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0878

zbMATH Keywords

bi-Hamiltonian integrabilityLax integrabilityRiemann hierarchy

Mathematics Subject Classification ID

Related Items (11)

On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries ⋮ Integrability analysis of a two-component Burgers-type hierarchy ⋮ Hamilton Operators and Related Integrable Differential Algebraic Novikov–Leibniz Type Structures ⋮ Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type ⋮ New Dubrovin-type integrability theory applications of differential rings ⋮ Non-associative structures of commutative algebras related with quadratic Poisson brackets ⋮ Dark Equations and Their Light Integrability ⋮ Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems ⋮ The Cauchy problem for a generalized Riemann-type hydrodynamical equation ⋮ On symmetry analysis of differential systems on functional manifolds ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators

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